The probability that the bottling plant bottles chocolate milk exactly 4 of the 5 days he visits approximately 32.9%
Probability:
Probability refers the possibility of occurring a particular event.
Binomial Probability:
Binomial probability refers the probability of a SUCCESS or FAILURE outcome in an experiment or survey that is repeated multiple times. The binomial is a type of distribution that has two possible outcomes.
The formula for the binomial probability is,
Pₓ = ⁿCₓ pˣ qⁿ⁻ˣ
Where,
n = the number of experiments
x = 0, 1, 2, 3, 4, …
p = Probability of success in a single experiment
q = Probability of failure in a single experiment
Given,
Robert likes chocolate milk, so he decides to visit the milk bottling plant every day for a week to get the free samples.
Unfortunately for him, the bottling plant sometimes bottles regular milk instead of chocolate milk, so each day the plant has a 2/3 chance of bottling chocolate milk.
Here we need to find the probability that the bottling plant bottles chocolate milk exactly 4 of the 5 days he visits.
Apply the values on the formula,
Then we get,
=> Pₓ=⁵C₄ x (2/3)⁴ x (1/3)
=> Pₓ = 5 x (16/81) x (1/3)
=> Pₓ = 80 / 243
=> Pₓ ≈ 32.9%
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The function h(x) passes through the point (-8,9). What point must lie on h^-1(x)?
Answer:
Step-by-step explanation:
h^-1(x) is the inverse of h(x) so its graph is the reflection of h(x)
in the lines y =- x.
This reflection is (x, y) ---> (y , x)
So the required point is (9, -8)
The point (9, -8) must lie on the inverse function [tex]h^{(-1)}(x)[/tex].
To find the point that must lie on the inverse function [tex]h^{(-1)}(x)[/tex], use the fact that points on the original function and its inverse are reflections over the line y = x.
If the point (-8, 9) lies on the function h(x), then the inverse function [tex]h^{(-1)[/tex](x) will have a point that is the reflection of (-8, 9) over the line y = x.
The coordinates of the reflected point will simply swap the x and y values. So, the point that must lie on [tex]h^{(-1)[/tex](x) is (9, -8).
Therefore, the point (9, -8) lie on the function [tex]h^{(-1)}(x)[/tex].
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What’s the domain and range ??
Answer:6
Step-by-step explanation:
4
Use the distributive property to rewrite each expression in its equivalent form.
1. 4(x + 3)
2. -7(4 - y)
3. 6(3x + 5y -4)
4. 9a-3/3
Rewrite each linear expression by factoring out the greatest common factor.
5. 64x + 24
6. -5y -35
HELPP I NEED TO SUMBIT SOON
please help! (will give brainlist!)
37: given the line y=3/4x-2
a: find the parallel slope.
b: find the perpendicular slope.
38: determine if the lines are parallel or perpendicular:
a: -2x+5y=9 and 5x+2y=-6
b: 4y=8x+12 and -12x+6y=24
39: write an equation of a line that passes through (-4,-6) and is parallel to y=3x-8
40: write an equation of a line that passes through (2,5) and is perpendicular to y=1/4x-12
Step-by-step explanation:
Two lines are parallel if they have the same slope and are perpendicular if the product of their slopes is -1
37.a.Parallel slope=¾
b.Perpendicular slope =-1/¾=-4/3
38.a. -2x+5y=9 and 5x+2y=-6
For the first line,5y=2x+9,y=2/5x+9/5
For the second line,2y=-6-5x,y=-3-5/2x
Compare the slopes
2/5 vs -5/2 we see that -5/2 is the negative reciprocal of 2/5 therefore they are perpendicular
39. If both lines are parallel then their slopes are equal. The slope of y=3x-8 is 3
Using the point-slope form, y-y1=m(x-x1)
y--6=3(x--4)
y+6=3(x+4)
y+6=3x+12
y=3x+12-6
y=3x+6
40.The slope of y=¼x-12 is ¼
The negative reciprocal of it is the slope of it's perpendicular that is -1/¼=-4
Using the point slope form, y-y1=m(x-x1)
y-5=-4(x-2)
y-5=-4x+8
y=-4x+8+5
y=-4x+13
Find the measure of angle A
Answer:
21 degrees
Step-by-step explanation:
Triangles have a total angle of 180 degrees.
This makes our equation:
3x+3+4x+135=180
Subtract 135 from both sides and combine like terms
7x + 3 = 45
Subtract 3 from both sides
7x = 42
Divide both sides by 7
x = 6
Plugging the number in:
3x + 3 =
3(6) + 3 =
21
Plz help asap easy(not for me) 6th grade question
Answer:
AEI hope this helps!
-3(x+5) - (2x+3) equals
-5x,-18
i hope im right im not quite sure bout this one
mrs. page needed two types of paper for her art class. the premium color paper costs $40 per case and the plain white paper costs $30 per case. if she bought 20 cases all together and spent $720 total, how many cases of plain white paper did she buy?
Mrs. Page bought 8 cases of plain white paper.
To solve for the number of cases of plain white paper Mrs. Page bought, we will use algebraic expressions.
Algebraic expression is an expression consisting variables ad coefficient.
We will designate a variable for the unknown and solve it using the algebraic expressions made.
The number of cases of plain white paper and premium color paper is unknown.
Let x = number of cases of plain white paper
and y = number of cases of premium color paper
If Mrs. Page bought 20 cases altogether, then
x + y = 20
If Mrs. Page spent a total of $720 for the 20 cases, and the premium color paper costs $40 per case and the plain white paper costs $30 per case, then:
30x + 40y = 720
Multiplying the first equation by 30, we get:
30x + 30y = 600
Subtracting it to the 2nd equation,
30x + 40y = 720
- 30x + 30y = 600
10y = 120
y = 12
Recall that x + y = 20. Then,
x + 12 = 20
x = 8
Hence, Mrs. Page bought 8 cases of plain white paper and 12 cases of premium color paper.
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You need to paint a decorative garden ornament that is in the shape of pyramid with a square base
that is 9 inches long and has a slant height of 12 inches.
a. A smaller pyramid has linear dimensions that are
times that of the larger pyramid. Does the
smaller pyramid require times the amount of paint? Explain.
b. Another pyramid has the same base lengths but the slant height. Does this pyramid require
the paint as the original pyramid? Explain.
Step-by-step explanation:
Total Surface area of a pyramid is given as
= Lateral surface area + area of base.
Lateral surface area = 1/2×perimeter of base×slant height
given the base is square with side 9 in , and slant height of 12 inches.
therefore, LSA = 1/2(9*4)×12 = 216 in^2
Now, TSA = LSA + Base area = 216+9^2 = 297 in^2
a) It is given that the pyramid is smaller therefore, it will require lesser paint than the original pyramid ( The TSA of the smaller pyramid cannot be calculated as its dimentions are not given).
b) It can not be solved as dimensions are missing in the question.
However, the logic has been explained in the soluion one easily put values to find the solution.
Algebra 1 easy. Will give brainlest PLZ ASAP!
Answer:
2, -2
Step-by-step explanation:
just test each one
6,12,11,8,4,1,11,4 median
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
Ryan bys plates and cups for a party. There are 12 plates in a pack and 10 cups in a
pack. He wants an equal number of plates and cups for a the party. What is the least number
of packs of plates and the least number of packs of cups that Ryan must buy?
Help please
Answer:
• 5 packs of plates
• 6 packs of cups
Step-by-step explanation:
5 packs of plates = 60 plates (5×12)
6 packs of cups = 60 cups (6×10)
Answer:
5 packs of plates
6 packs of cups
========================================================
Explanation:
GCF = greatest common factor
LCM = lowest common multiple
The GCF of 12 and 10 is 2 since
12 = 2*610 = 2*5It's the largest factor they have in common together.
Multiply 12 and 10, then divide by the GCF to get the LCM
LCM = (12*10)/GCF = 120/2 = 60
The LCM is 60. We can verify this by looking at a few multiples like so
multiples of 12 are: 12, 24, 36, 48, 60, 72, ...multiples of 10 are: 10, 20, 30, 40, 50, 60, 70, ...The LCM is the amount of plates and cups that match up.
Buying 5 packs of 12 plates gets 5*12 = 60 plates total
Buying 6 packs of 10 cups each gets 6*10 = 60 cups total
pls helppp
math work
bleh
Answer:
m = -10
Step-by-step explanation:
>:)
Answer:
m= -10
Step-by-step explanation:
2< -7 - (-10)
2< -7 + 10
2< 3
Find NX. PLs help with this problem !
Answer:
It i 5.Because it is Equlitrial triangle
determine the rate of change for the graph from 2014 to 2015:____ students per year
Answer:
The answer would be 9
Step-by-step explanation:
A bucket contains 15 white, 8 pink, 3 yellow, and 10 black golf balls. What is the probability of selecting a yellow ball, keeping it, then selecting a white ball? Write your answer as a fraction in simplest form.
Answer:
5/144
Step-by-step explanation:
Step one:
given data
sample space
15 white,
8 pink,
3 yellow, and
10 black golf balls
Sample size= 15+8+3+10= 36 golf balls
Step two:
1. first event
selecting a yellow ball= 3/36= 1/12
2. second event with a replacement on the first event
selecting a white ball= 15/36= 5/12
hence for the two events, the probability is
1/12*5/12
= 5/144
please help me with this
Answer:
Hey mate, just subsitute all the G's for -7 and all the H's for 3 in the question. Then put the question number in the blank that the answer matches.
Step-by-step explanation:
22 is 55% of what number ?
Answer:
40
Step-by-step explanation:
55% of n is equal to 22.
First, let's make an equation:
(55/100)*n = 22
(11/20)*n = 22 (reduced the fraction)
n = 22/(11/20) (divide both sides by 11/20)
n = 40
Hope this helps!
Which statement describes the graph of f(x) = –x4 + 3x3 + 10x2?
Answer:
The graph touches the x axis at x = 0 and crosses the x axis at x = 5 and x = -2.
Step-by-step explanation:
I will give multiple brainlist to people who help me with these slides!
Answer:
A)6
B)ST
Step-by-step explanation:
A if u turn it, 15 is equal to the 10
15/9=10/x
x=90/15
x=6
B) Turn it so #2 is facing up.
ST is the same.
Hope this helps plz hit the crown :D
Step-by-step explanation:
—MathA. BC/FG = AC/EG
9/FG = 15/10
FG = (9 x 10) / 15
FG = 6
B. CD/EA= ST/UQ
Follow my account^^
SAVINGS Natalie has $250 in her savings accountinto which she deposits $10 of her allowance each week. The balance of her savings account can be modeled by the function f(w) = 250 + 10w , where w represents the number of weeks. Write a function g(w) to represent the balance of Natalie's savings account if she withdraws $40 to purchase a new pair of shoes. Describe the translation of f(w) that results in g(w) .
Answer:
[tex]g(w) = 210+ 10w[/tex]
Step-by-step explanation:
Given
[tex]f(w) = 250 + 10w[/tex]
[tex]Withdrawal = \$40[/tex]
Required
Determine g(w)
First, we'll write an expression for g(w)
From the question, we understand that she withdrew $40 from her account balance in w weeks.
This implies that:
[tex]g(w) = f(w) - 40[/tex]
Where f(w) is the account balance in w weeks and $40 is the withdrawn amount
Substitute 250 + 10w for f(w)
[tex]g(w) = 250 + 10w - 40[/tex]
Collect Like Terms
[tex]g(w) = 250 - 40+ 10w[/tex]
[tex]g(w) = 210+ 10w[/tex]
Recall that:
[tex]g(w) = f(w) - 40[/tex]
This means that function f(w) when shifter by 40 units downward, gives g(w)
Which equation best represents the data shown in the scatter plot below?
A. y = 3/2x + 3
B. y = 11/3x + 4
C. y = −x + 17
D. y = −2x + 31
Answer:
Step-by-step explanation:
c
find the value of x so that f(x)= 7
Answer: f (x) =7
Step-by-step explanation:
The surface area of a solid is 4500 square inches. Is the surface area greater than 3 square yards
If the surface area of the solid is 4500 square inches, then the surface area of the solid is greater than 3 square yards
What are areas?The area of a shape is the amount of space on the shape.
For most regular quadrilaterals, the area is the product of the length and the width of the quadrilateral
Is the surface area greater than 3 square yards?The surface area of the solid is given as
Surface area = 4500 square inches
As a general rule of unit conversion
1 square inches = 1/1296 square yards
Next, we multiply both sides of the equation by 4500
So, we have
4500 * 1 square inches = 4500 * 1/1296 square yards
Evaluate the products in the above equation
4500 square inches = 3.5 square yards
3.5 square yards is greater than 3 square yards
Hence, the surface area of the solid is greater than 3 square yards
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Aye plz help. Im abt to die. Find the perimiter of the shape below.
Answer:
40
Step-by-step explanation:
Add all the sides together which is 40
Answer:35
Step-by-step explanation:
Which value of m will create a system of parallel lines with no solution?
y=mx-6
8x-4y=12
Answer:
m = 2
Step-by-step explanation:
Rearrange the second equation into slope-intercept form (so that it is formatted the same as the first equation)
8x - 4y = 12
8x - 8x - 4y = -8x + 12
-4y = -8x + 12
-4y/-4 = (-8x + 12)/-4
y = 2x - 3
The slope for this equation is 2.
Equations with the same slope are parallel and therefore have no solution since they can never intersect. Hence, the required value of m is 2.
Find the slope of the line through the given points:
(-3,-4) and (5, 12)
Leave answer as a fraction.
slope =
Blank 1:
Step-by-step explanation:
the slope is (y coordinate change / x coordinate change) when going from one point on the line to another.
it does not matter in what direction we go, but it is important to keep the same direction for the x and the y comparison.
because I prefer to go from left to right, let's go from
(-3, -4) to (5, 12).
x changes by +8 (from -3 to 5).
y changes by +16 (from -4 to 12).
so, the slope is
+16/+8 = 2/1 = 2
3. List the angles of the triangle in order from smallest to largest.
3
4.9
A
3.2
C
a. B, C, A
b. C, A, B
C. B,A,C
d. A,B,C
e. A,C,B
f. CB, A
Answer:
The list of angles of the triangle in order from smallest to largest will be: A < C < B
Hence, option 'e' is true.
i.e (A,C,B)
Step-by-step explanation:
We know that in a triangle the greater angle has the longer side opposite to it.
From the given triangle,
Side AC = 7.2 is the longer side. Thus, B is the largest angle as it is opposite to the longer side AC = 7.2.
Then comes the second-longest side AB=4.9. Thus, C is the 2nd largest angle it is opposite to the second-longest side AB=4.9.
Finally comes the shortest side BC = 3.2. Thus, A is the shortest angle as it is opposite to the shortest side BC = 3.2.
Thus, the list of angles of the triangle in order from smallest to largest will be: A < C < B
Hence, option 'e' is true.
i.e (A,C,B)
PLS HELP ME ASAP I DONT HAVE TIME IT ALSO DETECTS IF ITS RIGHT OR WRONG
Answer
3.2
Step-by-step explanation
8% of 40 is 3.2
so it would be 40- 3.2 and that = 36.8
The function f(t) = 750t + 20,000 models the number of movie theaters in the United States t years after 1985. Use this equation to predict the year in which the United States will have 35,000 movie theaters.
Given:
The function models the number of movie theaters in the United States t years after 1985.
[tex]f(t)=750t+20,000[/tex]
To find:
The year in which the United States will have 35,000 movie theaters.
Solution:
We have,
[tex]f(t)=750t+20,000[/tex]
Putting f(t)=35000, we get
[tex]35,000=750t+20,000[/tex]
[tex]35,000-20,000=750t[/tex]
[tex]15,000=750t[/tex]
Divide both sides by 750.
[tex]\dfrac{15,000}{750}=t[/tex]
[tex]20=t[/tex]
It means, United States will have 35,000 movie theaters 20 years after 1985.
[tex]1985+20=2005[/tex]
Therefore, United States will have 35,000 movie theaters is 2005.